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→Tuning ranges: Renamed "tunings" to "step ratios"; changed genchain extend so only the major and minor degrees are shown to cut down on space
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5L 2s has several rank-2 temperament interpretations, such as:
5L 2s has several rank-2 temperament interpretations, such as:


* Flattone, with a generator around 693.7¢.
* Meantone, with generators around 696.2¢.
*Meantone, with a generator around 696.2¢.
** Flattone, with generators around 693.7¢.
*Schismic, with a generator around 702¢.
*Schismic, with generators around 702¢.
*Parapyth, with a generator around 704.7¢.
*Parapyth, with generators around 704.7¢.
*Archy, with a generator around 709.3¢.
*Archy, with generators around 709.3¢.
**Supra, with generators around 707.2¢
**Superpyth, with generators around 710.3¢
**Ultrapyth, with generators around 713.7¢.


== Tuning ranges==
== Step ratio ranges==


=== Simple tunings ===
=== Simple step ratios ===
17edo and 19edo are the smallest edos that offer a greater variety of pitches than 12edo. Note that any enharmonic equivalences that 12edo has no longer hold for either 17edo or 19edo, as shown in the table below.{{MOS degrees|Scale Signature=5L 2s|Step Ratio=2/1; 3/1; 3/2|Genchain Extend=7}}
17edo and 19edo, produced using step ratios of 3:1 and 3:2 respectively, are the smallest edos that offer a greater variety of pitches than 12edo. Note that any enharmonic equivalences that 12edo has no longer hold for either 17edo or 19edo, as shown in the table below.{{MOS degrees|Scale Signature=5L 2s|Step Ratio=2/1; 3/1; 3/2|Genchain Extend=7}}
===Parasoft===
===Soft step ratios===
:''Main article: [[Flattone]]''
:''Main article: [[Meantone]] and [[Flattone]]''
Parasoft tunings (step ratios between 4:3 to 3:2) correspond to flattone temperaments, characterized by flattening the perfect 5th (3/2) so it makes the diatonic major 3rd flatter than 5/4 (386¢).
Most of the soft step ratio range (1:1 to 2:1) correspond to meantone temperaments. More specifically, the hyposoft range (3:2 to 2:1) corresponds to meantone and the parasoft range (4:3 and 3:2) corresponds to flattone.
{{MOS degrees|Scale Signature=5L 2s|Step Ratio=3/2; 4/3; 7/5; 10/7}}
 
===Hyposoft===
Both meantone and flattone are characterized with flattening the perfect 5th (3/2) to achieve major 3rds that are close to 5/4 (386¢), where the latter has major 3rds that are flatter than 5/4.
:''Main article: [[Meantone]]''
 
Hyposoft tunings (step ratio between 3:2 to 2:1) correspond to meantone temperaments, characterized by flattening the perfect 5th (3/2) to achieve a diatonic major 3rd that closely approximates 5/4 (386¢).
==== Parasoft step ratios ====
{{MOS degrees|Scale Signature=5L 2s|Step Ratio=3/2; 5/3; 7/4; 8/5}}
{{MOS degrees|Scale Signature=5L 2s|Step Ratio=3/2; 4/3; 7/5; 10/7|Genchain Extend=0, 5}}
===Hypohard ===
====Hyposoft step ratios====
{{MOS degrees|Scale Signature=5L 2s|Step Ratio=3/2; 5/3; 7/4; 8/5|Genchain Extend=0, 5}}
===Hypohard step ratios ===
:''Main article: [[Pythagorean tuning]] and [[Schismatic family#Schismatic aka Helmholtz|schismatic temperament]]''
:''Main article: [[Pythagorean tuning]] and [[Schismatic family#Schismatic aka Helmholtz|schismatic temperament]]''
The range of hypohard tunings can be divided into a minihard range (step ratios 2:1 to 5:2) and quasihard range (step ratios 5:2 to 3:1).
The range of hypohard step ratios can be divided into a minihard range (between 2:1 to 5:2) and quasihard range (between  5:2 to 3:1).
==== Minihard ====
==== Minihard step ratios ====
Minihard tunings correspond to Pythagorean tuning and schismatic temperament, characterized by having a perfect 5th that is as close to just (701.96¢) as possible, resulting in 81/64 (407.8¢) for its major 3rd.
Minihard step ratios correspond to Pythagorean tuning and schismatic temperament, characterized by having a perfect 5th that is as close to just (701.96¢) as possible, resulting in 81/64 (407.8¢) for its major 3rd.
{{MOS degrees|Scale Signature=5L 2s|Step Ratio=7/3; 9/4}}
{{MOS degrees|Scale Signature=5L 2s|Step Ratio=7/3; 9/4|Genchain Extend=0, 5}}
==== Quasihard ====
==== Quasihard step ratios ====
Quasihard tunings correspond to "neogothic" or "parapyth" systems whose perfect 5th is sharper than just, resulting in major 3rds that are sharper than 81/64.
Quasihard step ratios correspond to "neogothic" or "parapyth" systems whose perfect 5th is sharper than just, resulting in major 3rds that are sharper than 81/64.


17edo is considered to be on the sharper end of the neogothic spectrum, with a major 3rd that is more discordant than flatter neogothic tunings.
17edo is considered to be on the sharper end of the neogothic spectrum, with a major 3rd that is more discordant than flatter neogothic tunings.
{{MOS degrees|Scale Signature=5L 2s|Step Ratio=3/1; 5/2; 8/3}}
{{MOS degrees|Scale Signature=5L 2s|Step Ratio=3/1; 5/2; 8/3|Genchain Extend=0, 5}}
===Parahard and ultrahard===
===Parahard and ultrahard step ratios===
Parahard and ultrahard tunings (step ratio 3:1 or sharper) correspond to "archy" systems, whose perfect 5th is significantly sharper than just.
Parahard and ultrahard step ratios (3:1 or sharper) correspond to "archy" systems, whose perfect 5th is significantly sharper than just.
{{MOS degrees|Scale Signature=5L 2s|Step Ratio=3/1; 4/1; 5/1}}
{{MOS degrees|Scale Signature=5L 2s|Step Ratio=3/1; 4/1; 5/1; 6/1|Genchain Extend=0, 5}}


== Modes==
== Modes==
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